Answer
slope = $-\frac{4}{3}$
The line through the points falls from left to right.
Work Step by Step
RECALL:
The slope of the line that passes through the points $(x_1, y_1)$ and $(x_2, y_2)$ is given by the formula:
$m=\dfrac{y_2-y_1}{x_2-x_1}$
Solve for the slope of the line that passes through the two given points using the formula above to obtain:
$m=\dfrac{-3-1}{-4-(-7)}=\dfrac{-4}{-4+7}=\dfrac{-4}{3}$
A line with a negative slope falls from left to right.
